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GrogVix [38]
3 years ago
9

An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4

000 in its reserve fund. Write an inequality to represent this situation.
Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

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Answer:

Option C, y = -1/3x + 2

Step-by-step explanation:

2x + 6y = 12

<u>Step 1:  Solve for y</u>

2x + 6y - 2x = 12 - 2x

6y / 6 = (12 - 2x) / 6

y = 2 - 1/3x

Answer:  Option C, y = -1/3x + 2

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Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

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=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

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<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

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The answer is D. First, it is the segment addition postulate because the two segments make up the whole. Second, it's substitution because you are substituting EF + FG for FH.

Hope this helps!
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3 years ago
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A car rental agency rents 190 cars per day at a rate of 29 dollars per day. for each 1 dollar increase in the daily rate, 5 fewe
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The equation that we can create from this situation is:

i = (190 – 5 x) * (29 + x)

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i = -5x^2 + 45x + 5510

Taking the 1st derivative:

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The maximum income is:

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3 years ago
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